exercise:2fd37cda6a: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Consider the following two experiments: the first has outcome <math>X</math> taking on the values 0, 1, and 2 with equal probabilities; the second results in an (independent) outcome <math>Y</math> taking on the value 3 with probability 1/4 and 4...") |
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Consider the following two experiments: the first has outcome <math>X</math> taking on the values 0, 1, and 2 with equal probabilities; the second results in an (independent) outcome <math>Y</math> taking on the value 3 with probability 1/4 and 4 | |||
on the values 0, 1, and 2 with equal probabilities; the second results in an | |||
(independent) outcome <math>Y</math> taking on the value 3 with probability 1/4 and 4 | |||
with probability 3/4. Find the distribution of | with probability 3/4. Find the distribution of | ||
<ul><li> <math>Y + X</math>. | <ul style="list-style-type:lower-alpha"><li> <math>Y + X</math>. | ||
</li> | </li> | ||
<li> <math>Y - X</math>. | <li> <math>Y - X</math>. | ||
</li> | </li> | ||
</ul> | </ul> | ||
Latest revision as of 23:57, 24 June 2024
Consider the following two experiments: the first has outcome [math]X[/math] taking on the values 0, 1, and 2 with equal probabilities; the second results in an (independent) outcome [math]Y[/math] taking on the value 3 with probability 1/4 and 4 with probability 3/4. Find the distribution of
- [math]Y + X[/math].
- [math]Y - X[/math].